A) Running a regression on 11 pairs of data, you find the correlation coefficient to be...

A) Running a regression on 11 pairs of data, you find the correlation coefficient to be 0.321. At the .05 significance level, does this show significant correlation?

Yes, significant correlation
No

B) At a .01 significance level with a sample size of 50, find the critical value for the correlation coefficient

Expert Solution

A) Here in this Question we need to test weather there is significant correlation coefficient. At 0.05 level of significance.

The t test will be used for significance of correlation.

Further the test is performed at 0.05 % level of significance as below,

The p value of t test is calculated using Excel.

Using both methods correlation critical value amd t test we fail to Reject null hypothesis. At 5% level of significance our result is not significant.

No.

There is not significant correlation between x and y.

B) the Correlation critical value is calculated as below,

The Correlation critical value is calculated using Correlation critical value table at 48 degrees of freedom.

Thank you.

orchestra answered 2 years ago

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